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Finding the Third Proportional to 26,632 and 38,364

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Solution

The third proportional to 26,632 and 38,364 is: 55,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,632 : 38,364 = 38,364 : x
  2. Step 2: Convert to fraction form
    26,632/38,364 = 38,364/x
  3. Step 3: Cross multiply
    26,632x = 38,364 × 38,364
  4. Step 4: Simplify right side
    26,632x = 1,471,796,496
  5. Step 5: Solve for x
    x = 1,471,796,496/26,632
  6. Step 6: Final answer
    x = 55,264.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.